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Let `T_r` be the `r^(th)` term of an A.P whose first term is `a` and common difference is `d` IF for some integer m,n, `T_m=1/n` and `T_n=1/m` then `a-d=`A. `(1)/(mn)`B. `(1)/(m)+(1)/(n)`C. 1D. 0 |
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Answer» Correct Answer - C Let a be the term and d be the common difference of the given AP. Then, `T_(m)=(1)/(n)rArra=(m+1)d=(1)/(n)` . . . (i) `and,T_(n)=(1)/(m)rArra+(n-1)d=(1)/(m)` . . . (ii) Solving (i) and (ii), we get `d=(1)/(mn)anda=(1)/(mn)` `:." "T_(mn)=a+(mn-1)d=(1)/(mn-1)(1)/(mn)=1` |
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